471 citations · 2.6k across the 56 of their papers we have counts for
48 papers · 1 filter
A new construction of Virasoro blocks
Qianyu Hao, Andrew Neitzke
We introduce a nonabelianization map for conformal blocks, which relates Virasoro blocks on a Riemann surface to Heisenberg blocks on a branched double cover $\widetilde{…
Commuting Line Defects At
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke +1
We explain the physical origin of a curious property of algebras which encode the rotation-equivariant fusion ring of half-BPS line defects in four-dimen…
Exponential Networks, WKB and Topological String
Alba Grassi, Qianyu Hao, Andrew Neitzke
We propose a connection between 3d-5d exponential networks and exact WKB for difference equations associated to five dimensional Seiberg-Witten curves, or equivalently, to quantum…
The quantum UV-IR map for line defects in -type class theories
Andrew Neitzke, Fei Yan
We consider the quantum UV-IR map for line defects in class theories of -type. This map computes the protected spin character which counts framed BPS states w…
Exact WKB methods in
Alba Grassi, Qianyu Hao, Andrew Neitzke
We study in detail the Schrödinger equation corresponding to the four dimensional SQCD theory with one flavour. We calculate the Voros symbols, or quantum p…
Deformations of surface defect moduli spaces
Andrew Neitzke, Ali Shehper
Given a 4d supersymmetric theory with an supersymmetric surface defect, a marginal perturbation of the bulk theory induces a complex structure…
Factorized class theories and surface defects
Behzat Ergun, Qianyu Hao, Andrew Neitzke +1
It is known that some theories of class are actually factorized into multiple decoupled nontrivial four-dimensional theories. We propose a way of constructing examples of…
-nonabelianization for line defects
Andrew Neitzke, Fei Yan
We consider the -nonabelianization map, which maps links in a 3-manifold to links in a branched -fold cover . In quantum field theory t…
Exact WKB and abelianization for the equation
Lotte Hollands, Andrew Neitzke
We describe the exact WKB method from the point of view of abelianization, both for Schrödinger operators and for their higher-order analogues (opers). The main new example which w…
BPS states in the Minahan-Nemeschansky theory
Qianyu Hao, Lotte Hollands, Andrew Neitzke
We use the method of spectral networks to calculate BPS degeneracies in the Minahan-Nemeschansky theory, as representations of the flavor symmetry. Our results provide…
On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
Jacques Distler, Mario Martone, Andrew Neitzke
The F-theory realization of the rank-1 Minahan Nemeschansky (MN) , and theories leads to a description of the BPS states on the Coulomb branch in terms of Type IIB…
Secondary products in supersymmetric field theory
Christopher Beem, David Ben-Zvi, Mathew Bullimore +2
The product of local operators in a topological quantum field theory in dimension greater than one is commutative, as is more generally the product of extended operators of codimen…
Line defect Schur indices, Verlinde algebras and fixed points
Andrew Neitzke, Fei Yan
Given an superconformal field theory, we reconsider the Schur index in the presence of a half line defect . Recently Cordova-Gaiotto-Shao foun…
Hitchin systems in N=2 field theory
Andrew Neitzke
This is the second article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. The space of vacua of class theories on $R^3…
Twistorial Topological Strings and a tt* Geometry for N=2 Theories in 4d
Sergio Cecotti, Andrew Neitzke, Cumrun Vafa
We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantiz…
index for four-dimensional field theories
Sergei Alexandrov, Gregory W. Moore, Andrew Neitzke +1
In theories with supersymmetry on , BPS bound states can decay across walls of marginal stability in the space of Coulomb branch parameters, leading to discontinuiti…
Hyperkahler Sigma Model and Field Theory on Gibbons-Hawking Spaces
Anindya Dey, Andrew Neitzke
We describe a novel deformation of the 3-dimensional sigma model with hyperkähler target, which arises naturally from the compactification of a 4-dimensional theory…
Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
Clay Cordova, Andrew Neitzke
We study BPS line defects in N=2 supersymmetric four-dimensional field theories. We focus on theories of "quiver type," those for which the BPS particle spectrum can be computed us…
Wild Wall Crossing and BPS Giants
Dmitry Galakhov, Pietro Longhi, Tom Mainiero +2
We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=2 supersymmetry exhibits a surprising phenomenon: there are regions of the Coulomb branch where…
Spectral Networks and Snakes
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We apply and illustrate the techniques of spectral networks in a large collection of A_{K-1} theories of class S, which we call "lifted A_1 theories." Our construction makes contac…
Spectral networks
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We introduce new geometric objects called spectral networks. Spectral networks are networks of trajectories on Riemann surfaces obeying certain local rules. Spectral networks arise…
On a hyperholomorphic line bundle over the Coulomb branch
Andrew Neitzke
Given an N=2 supersymmetric field theory in four dimensions, its dimensional reduction on S^1 is a sigma model with hyperkahler target space M. We describe a canonical line bundle…
Wall-Crossing in Coupled 2d-4d Systems
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We introduce a new wall-crossing formula which combines and generalizes the Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems respectively. This 2…
R-Twisting and 4d/2d Correspondences
Sergio Cecotti, Andrew Neitzke, Cumrun Vafa
We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particul…